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Finding the Fourth Proportional to 411,121.56, 616,788.51 and 126,805.69

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Solution

The fourth proportional to 411,121.56, 616,788.51 and 126,805.69 is: 190,241.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,121.56 : 616,788.51 = 126,805.69 : x
  2. Step 2: Convert to fraction form
    411,121.56/616,788.51 = 126,805.69/x
  3. Step 3: Cross multiply
    411,121.56x = 616,788.51 × 126,805.69
  4. Step 4: Simplify right side
    411,121.56x = 78,212,293,603.37
  5. Step 5: Solve for x
    x = 78,212,293,603.37/411,121.56
  6. Step 6: Final answer
    x = 190,241.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.